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220302302000 = 245311191373847
BaseRepresentation
bin1100110100101100001…
…0100101101100110000
3210001122020122111010112
43031023002211230300
512102134342131000
6245112214520452
721626203445564
oct3151302455460
9701566574115
10220302302000
118547a9a7190
1236842966128
1317a0b51c621
14a93c5b96a4
155ae5a06235
hex334b0a5b30

220302302000 has 320 divisors, whose sum is σ = 616327695360. Its totient is φ = 75320064000.

The previous prime is 220302301991. The next prime is 220302302029. The reversal of 220302302000 is 203203022.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 57264077 + ... + 57267923.

It is an arithmetic number, because the mean of its divisors is an integer number (1926024048).

Almost surely, 2220302302000 is an apocalyptic number.

220302302000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220302302000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308163847680).

220302302000 is an abundant number, since it is smaller than the sum of its proper divisors (396025393360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

220302302000 is a wasteful number, since it uses less digits than its factorization.

220302302000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4037 (or 4021 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

Adding to 220302302000 its reverse (203203022), we get a palindrome (220505505022).

The spelling of 220302302000 in words is "two hundred twenty billion, three hundred two million, three hundred two thousand".